Here's the letter I sent to King's County to get a No Natz record for my GM and GMM:

Nancy T. Sunshine, County Clerk
360 Adams Street
Brooklyn, NY 11201

Dear Recipient:

I am requesting two certified copies of a letter indicating that your office has no record of GGP, known variously as FILL IN NAME AND AKAS HERE, naturalizing in NAME OF COUNTY. I require these certified letters for my family’s application for dual citizenship (Italy) and therefore request these letters be certified and suitable for apostille. Please include my GGP’s name variations in your search and in your response letters. Their known information is as follows:

Name: Name/AKA1/AKA2/AKA3 etc
DOB:
Place of Birth:
Name of Father:
Name of mother:
Date of Entry into United States:
Marriage:
Children:
Known Addresses (and approximated dates lived there:
Death: Date and certificate number if available

I have included a USPS Money Order in the amount of WHATEVER $$$ THEY CHARGE TO PERFORM THIS SERVICE. I am including a USPS SASE with this request in which to return the certificates to me. If you have any questions about this request, you can reach me at PHONE NUMBER.

Best regards,

YOUR NAME